# hcf.perm: Permutation based 2-sample mean test for (hyper-)spherical... In Directional: A Collection of Functions for Directional Data Analysis

 Permutation based 2-sample mean test for (hyper-)spherical data R Documentation

## Permutation based 2-sample mean test for (hyper-)spherical data

### Description

Permutation based 2-sample mean test for (hyper-)spherical data.

### Usage

```hcf.perm(x1, x2, B = 999)
lr.perm(x1, x2, B = 999)
hclr.perm(x1, x2, B = 999)
embed.perm(x1, x2, B = 999)
het.perm(x1, x2, B = 999)
```

### Arguments

 `x1` A matrix with the data in Euclidean coordinates, i.e. unit vectors. `x2` A matrix with the data in Euclidean coordinates, i.e. unit vectors. `B` The number of permutations to perform.

### Details

The high concentration (hcf.perm), log-likelihood ratio (lr.perm), high concentration log-likelihood ratio (hclr.perm), embedding approach (embed.perm) or the non equal concentration parameters approach (het.perm) is used.

### Value

A vector including:

 `test` The test statistic value. `p-value` The p-value of the F test. `kappa` The common concentration parameter kappa based on all the data.

### Author(s)

Michail Tsagris.

R implementation and documentation: Michail Tsagris mtsagris@uoc.gr.

### References

Mardia, K. V. and Jupp, P. E. (2000). Directional statistics. Chicester: John Wiley & Sons.

Rumcheva P. and Presnell B. (2017). An improved test of equality of mean directions for the Langevin-von Mises-Fisher distribution. Australian & New Zealand Journal of Statistics, 59(1), 119-135.

Tsagris M. and Alenazi A. (2022). An investigation of hypothesis testing procedures for circular and spherical mean vectors. Communications in Statistics-Simulation and Computation (Accepted for publication).

```hcf.boot, hcf.aov, spherconc.test, conc.test ```

### Examples

```x <- rvmf(60, rnorm(3), 15)
ina <- rep(1:2, each = 30)
x1 <- x[ina == 1, ]
x2 <- x[ina == 2, ]
hcf.perm(x1, x2)
lr.perm(x1, x2)
het.boot(x1, x2)
```

Directional documentation built on Jan. 12, 2023, 1:12 a.m.